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If $a+b+c=0$ and $p\ne 0,$ the lines $ax+(b+c)y=p,$ $bx+(c+a)y=p$ and $cx+(a+b)y=p$
The symmetry in curve ${{x}^{3}}+{{y}^{3}}=3axy$ along
The point of intersection of the lines $\frac{x}{a}+\frac{y}{b}=1$ and $\frac{x}{b}+\frac{y}{a}=1$ lies on the line
The equations $(b-c)x+(c-a)y+(a-b)=0$ and $({{b}^{3}}-{{c}^{3}})x+({{c}^{3}}-{{a}^{3}})y+{{a}^{3}}-{{b}^{3}}=0$ will represent the same line, if
A straight line makes an angle of ${{135}^{o}}$ with x–axis and cuts y-axis at a distance of – 5 from the origin. The equation of the line is
Equation of the straight line making equal intercepts on the axes and passing through the point (2, 4) is
The equation of the straight line passing through the point $(4, 3)$ and making intercepts on the co-ordinate axes whose sum is $– 1$ is
The line which is parallel to x–axis and crosses the curve $y=\sqrt{x}$ at an angle of ${{45}^{o}}$ is equal to
The equation of the line perpendicular to line $ax+by+c=0$ and passing through $(a,\ b)$ is equal to
The points (1, 3) and (5, 1) are the opposite vertices of a rectangle. The other two vertices lie on the line $y=2x+c,$ then the value of c will be

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